Normal stress differences in dense suspensions

Abstract

The presence and the microscopic origin of normal stress differences in dense suspensions under simple shear flows are investigated by means of inertialess particle dynamics simulations, taking into account hydrodynamic lubrication and frictional contact forces. The synergic action of hydrodynamic and contact forces between the suspended particles is found to be the origin of negative contributions to the first normal stress difference $N_1$, whereas positive values of $N_1$ observed at higher volume fractions near jamming are due to effects that cannot be accounted for in the hard-sphere limit. Furthermore, we found that the stress anisotropy induced by the planarity of the simple shear flow vanishes as the volume fraction approaches the jamming point for frictionless particles, while it remains finite for the case of frictional particles.

arXiv comment14 pages, 9 figures

References in corpus (14)

• Jamming, Force Chains and Fragile Matter
• Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions
• Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions
• Discontinuous shear thickening without inertia in dense non-Brownian suspensions
• A unified description of the rheology of hard-particle suspensions
• Frictionless bead packs have macroscopic friction, but no dilatancy
• A constitutive model for simple shear of dense frictional suspensions
• Discontinuous Shear Thickening in Brownian Suspensions By Dynamic Simulation
• A rheological signature of frictional interactions in shear thickening suspensions
• A rheological state diagram for rough colloids in shear flow
• Shear and normal stress measurements in non-Brownian monodisperse and bidisperse suspensions
• Toward a microscopic description of flow near the jamming threshold
• Microstructure and thickening of dense suspensions under extensional and shear flows
• A theoretical framework for steady-state rheometry in generic flow conditions

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• Constitutive model for shear-thickening suspensions: Predictions for steady shear with superposed transverse oscillations
• Normal stress anisotropy and marginal stability in athermal elastic networks
• Shear jamming and fragility of suspensions in a continuum model with elastic constraints
• Emergent Stripes of Active Rotors in Shear Flows
• Shear thickening of suspensions of dimeric particles
• The Spatial Crossover between Far-From-Equilibrium and Near-Equilibrium Dynamics in Locally Driven Suspensions
• Non-monotonic Rheology and Stress Heterogeneity in confined Granular suspensions
• Ridge instability in dense suspensions caused by the second normal stress difference
• Mechanical non-reciprocity programmed by shear jamming in soft composite solids
• Transverse vortices induced by modulated granular shear flows of elongated particles
• Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution